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Finding the Third Proportional to 222,057.05 and 488,390.67

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Solution

The third proportional to 222,057.05 and 488,390.67 is: 1,074,162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,057.05 : 488,390.67 = 488,390.67 : x
  2. Step 2: Convert to fraction form
    222,057.05/488,390.67 = 488,390.67/x
  3. Step 3: Cross multiply
    222,057.05x = 488,390.67 × 488,390.67
  4. Step 4: Simplify right side
    222,057.05x = 238,525,448,374.51
  5. Step 5: Solve for x
    x = 238,525,448,374.51/222,057.05
  6. Step 6: Final answer
    x = 1,074,162.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.